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Sensitivity of dynamical systems to Banach space parameters
Authors:HT Banks  Hoan K Nguyen
Institution:Center for Research in Scientific Computation, Box 8205, N. C. State University, Raleigh, NC 27695-8205, USA Statistical and Applied Mathematical Sciences Institute, 19 T.W. Alexander Dr, PO Box 14006, Research Triangle Park, NC 27709-4006, USA
Abstract:We consider general nonlinear dynamical systems in a Banach space with dependence on parameters in a second Banach space. An abstract theoretical framework for sensitivity equations is developed. An application to measure dependent delay differential systems arising in a class of HIV models is presented.
Keywords:Sensitivity equations  Delay differential equations  Approximation
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